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Finding the Fourth Proportional to 8,406.30, 12,609.45 and 7,499.10

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Solution

The fourth proportional to 8,406.30, 12,609.45 and 7,499.10 is: 11,248.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,406.30 : 12,609.45 = 7,499.10 : x
  2. Step 2: Convert to fraction form
    8,406.30/12,609.45 = 7,499.10/x
  3. Step 3: Cross multiply
    8,406.30x = 12,609.45 × 7,499.10
  4. Step 4: Simplify right side
    8,406.30x = 94,559,526.50
  5. Step 5: Solve for x
    x = 94,559,526.50/8,406.30
  6. Step 6: Final answer
    x = 11,248.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.